Estimating entanglement in teleportation experiments

Abstract

Quantum state teleportation is a protocol where a shared entangled state is used as a quantum channel to transmit quantum information between distinct locations. Here we consider the task of estimating entanglement in teleportation experiments. We show that the data accessible in a teleportation experiment allows to put a lower bound on some entanglement measures, such as entanglement negativity and robustness. Furthermore, we show cases in which the lower bounds are tight. The introduced lower bounds can also be interpreted as quantifiers of the nonclassicality of a teleportation experiment. Thus, our findings provide a quantitative relation between teleportation and entanglement.

The title is changed and the manuscript is significantly restructured. Codes available at https://github.com/paulskrzypczyk/nonclassicalteleportation/blob/master/Quantifying%20teleportation.ipynb